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Finding the Fourth Proportional to 2,857.71, 4,272.48 and 2,423.80

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Solution

The fourth proportional to 2,857.71, 4,272.48 and 2,423.80 is: 3,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.71 : 4,272.48 = 2,423.80 : x
  2. Step 2: Convert to fraction form
    2,857.71/4,272.48 = 2,423.80/x
  3. Step 3: Cross multiply
    2,857.71x = 4,272.48 × 2,423.80
  4. Step 4: Simplify right side
    2,857.71x = 10,355,637.02
  5. Step 5: Solve for x
    x = 10,355,637.02/2,857.71
  6. Step 6: Final answer
    x = 3,623.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.